Answer:
There are two rational roots for f(x)
Explanation:
We are given a function
f(x) = x^6-2x^4-5x^2+6f(x)=x6−2x4−5x2+6
To find the number of rational roots for f(x).
Let us use remainder theorem that when
f(a) =0, (x-a) is a factor of f(x) or x=a is one solution.
Substitute 1 for x
f(1) = 1-2-5+6=0
Hence x=1 is one solution.
Let us try x=-1
f(-1) = 1-2-5+6 =0
So x =-1 is also a solution and x+1 is a factor
We can write f(x) by trial and error as
f(x) = (x-1)(x+1)(x^2-3)f(x)=(x−1)(x+1)(x2−3)
We find that f(x) (x^2-3)f(x)(x2−3) factor gives two irrational solutions as
±√3.
Hence number of rational roots are 2.
Answer:
107 degrees
Explanation:
The lines intersect to create a triangle. The sum of the interior angles of a triangle is 180 degrees.
a + b+ c = 180
We deduce the unlabeled angle (in the lower right corner) by considering the line that goes from that angle to the a angle on the left side. The line itself has a 180 degree angle (on each side). And we know the exterior angle is 107 degrees... that leaves 73 for the interior angle.
We take the equation above again... by putting now the value of C (the un-named angle):
a + b + 73 = 180
We isolate the a+b part... to get a+b = 107, the same value as the exterior angle.
Answer:
Explanation:
To solve for the distance between the probe and the center of Venus, use the formula:
<u>Plugin the values</u>:
G =
Hence:
Answer:
C. Te vistes a las ocho.
Explanation:
Translation: You get dressed at eight
The only way I would think is that when making a PB&J the jelly and peanut butter are on separate breads showing that division between races. But, when you put the two sides together they are supposed to taste better together than alone which might symbolize that when races come together they are better together than seperate.
